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AnnyKZ [126]
3 years ago
8

A cubic box is completely filled with 2,179 g of water. What is the length of one side of the box, in meters? m Explain your rea

soning. Since the density of water is g/cm3, then the volume of 2,179 g of water is cm3. A cubic box with a volume of cm3 is cm on each side. Converting cm to meters, the cube is m on each side.
Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0

Answer:

l\approx 1.296\,cm

Step-by-step explanation:

The water density is approximately 1 gram per cubic centimeter, which means that 1 gram of water occupies a volume of a cubic centimeter. Hence, 2.179 grams occupies a volume of 2.179 cubic centimeters.

Let assume volume occupied by the water has a cube-like shape, whose side has the following measure:

l = \sqrt[3]{2.179\,m^{3}}

l\approx 1.296\,cm

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2 years ago
On Monday, Florencia's hair was hhh centimeters long. She got a haircut on Tuesday, so her hair was only 75%,of the length it wa
tresset_1 [31]

Answer:

.75h

Step-by-step explanation:

Given that length of the hair of Florencia on Monday = h centimeters. So new length of the hair of Florencia on Tuesday = 75% of Monday value

= 75% of (h)

= 0.75* (h)

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3 0
3 years ago
Read 2 more answers
Help! How would I solve this trig identity?
NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}

Then the identity can be rewritten as:

sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\

Now we can multiply both sides by cos⁴(x) to get:

\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)

Now we can use the identity:

sin²(x) + cos²(x) = 1

1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

7 0
1 year ago
Write the square of (2x+1/x)
pentagon [3]

Answer:

((2 x^2 + 1)^2)/(x^2)

Step-by-step explanation:

Simplify the following:

(2 x + 1/x)^2

Hint: | Put the fractions in 2 x + 1/x over a common denominator.

Put each term in 2 x + 1/x over the common denominator x: 2 x + 1/x = (2 x^2)/x + 1/x:

((2 x^2)/x + 1/x)^2

Hint: | Combine (2 x^2)/x + 1/x into a single fraction.

(2 x^2)/x + 1/x = (2 x^2 + 1)/x:

((2 x^2 + 1)/x)^2

Hint: | Distribute exponents over quotients in ((2 x^2 + 1)/x)^2.

Multiply each exponent in (2 x^2 + 1)/x by 2:

Answer: ((2 x^2 + 1)^2)/(x^2)

6 0
2 years ago
Solve:​ z5 + 3 = −35
Fudgin [204]

Answer:

z= - 5 √ 38

Step-by-step explanation:

take the root of both sides

or

you can factor each set and make them equal to zero

8 0
3 years ago
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